Please help put the solution only if you can. Thank you!

X=32 and Y=51

Step-by-step explanation:

first to find the answer, we must establish that the sum of 3 angles in any triangle will equal 180 degrees, and both triangles are congruent then we can start making equations. Triangle STU has 2 numbers and one equation on it, the equation for the length of NP will give us y, but first we must get X from the equation for angle TUS which is congruent to angle MNP, so first we must add angle M and angle P together to find angle N, 142+24=166, 180-166=14, so angle N and angle U are both equal to 14 degrees, so, 2x-50=14 first add 50 to both sides then divide by 2 giving us 32=X. Now that we have x, we can find y, 2x32-y=13, we can determine m is equal to 13 m because segment SU is congruent to segment NP, SU is 13 meters, thus NP is 13 meters long as well. first multiply 32 and 2 giving 64, then subtract 64 from both sides, giving you -y=-51, but we don't stop here because y itself can't be negative as that's not what's being asked for, so divide both sides by negative 1 giving you Y=51